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Finding the Fourth Proportional to 190.32, 285.27 and 87.69

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Solution

The fourth proportional to 190.32, 285.27 and 87.69 is: 131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.32 : 285.27 = 87.69 : x
  2. Step 2: Convert to fraction form
    190.32/285.27 = 87.69/x
  3. Step 3: Cross multiply
    190.32x = 285.27 × 87.69
  4. Step 4: Simplify right side
    190.32x = 25,015.33
  5. Step 5: Solve for x
    x = 25,015.33/190.32
  6. Step 6: Final answer
    x = 131.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.